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Finding the Third Proportional to 13,457 and 29,479

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Solution

The third proportional to 13,457 and 29,479 is: 64,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457 : 29,479 = 29,479 : x
  2. Step 2: Convert to fraction form
    13,457/29,479 = 29,479/x
  3. Step 3: Cross multiply
    13,457x = 29,479 × 29,479
  4. Step 4: Simplify right side
    13,457x = 869,011,441
  5. Step 5: Solve for x
    x = 869,011,441/13,457
  6. Step 6: Final answer
    x = 64,576.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.